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Finding the Fourth Proportional to 571.69, 857.17 and 379.09

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Solution

The fourth proportional to 571.69, 857.17 and 379.09 is: 568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.69 : 857.17 = 379.09 : x
  2. Step 2: Convert to fraction form
    571.69/857.17 = 379.09/x
  3. Step 3: Cross multiply
    571.69x = 857.17 × 379.09
  4. Step 4: Simplify right side
    571.69x = 324,944.58
  5. Step 5: Solve for x
    x = 324,944.58/571.69
  6. Step 6: Final answer
    x = 568.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.